Answers
Answer:
Step-by-step explanation:
I'm not sure how to solve the first one, but I'll try to simplify sqrt3-1/sqrt3+1. I simplified it and I got 2-sqrt3. Does that help?
For question 2, I got -0.251.
Answer:
1) \(\frac{\sqrt{3}-1 }{\sqrt{3}+1}=\frac{(\sqrt{3}-1)^{2} }{(\sqrt{3}+1)(\sqrt{3}-1) }=\frac{4-2\sqrt{3} }{3-1}=\frac{4-2\sqrt{3} }{2}=2-\sqrt{3}\)
but \(\frac{\sqrt{3}-1 }{\sqrt{3}+1 }=a+b\sqrt{3}\)
=> a = 2
b = -1
2) \(\frac{\sqrt{10}-\sqrt{15} }{2\sqrt{2} }=\frac{\sqrt{20}-\sqrt{30} }{4}=\frac{2\sqrt{5}-\sqrt{30} }{4}=-0.251\)
Step-by-step explanation:
Related Questions
BRING IT ON!!!!!! >:)
Answers
Answer: *scared*
Step-by-step explanation:
jenny reads a book with 92 pages. jenny's book has 13 more pages than the book macy reads. which equation could you solve to find how many pages, m, macy's book has?
Answers
Information about a sample is given. Assume that the sampling distribution is symmetric and bell-shaped. phat1-phat2=0.13 and the margin of error for confidence is 95% confidence +-3% 1. indicate the parameter being estimated 2. Use the information to give a 95% confidence interval. The confidence interval is
Answers
The 95% confidence interval for the difference between the two population proportions is (0.1, 0.16).
The parameter being estimated is the difference between two population proportions.
To find the 95% confidence interval for this parameter, we can use the margin of error formula:
Margin of error = z*√((p1(1-p1))/n1 + (p2(1-p2))/n2)where z is the z-score for the desired level of confidence (95% in this case), p1 and p2 are the sample proportions, and n1 and n2 are the sample sizes.
We know that the difference between the sample proportions (phat1 - phat2) is 0.13, and the margin of error is 3%. Since the sampling distribution is assumed to be symmetric and bell-shaped, we can assume that the standard deviation of the difference between the sample proportions is equal to the standard error, which can be estimated by the margin of error.
Setting up an equation using the margin of error formula, we get:
3% = z*√((p-hat1(1-p-hat1))/n1 + (p-hat2(1-p-hat2))/n2)We don't know the sample sizes or the sample proportions, so we can't solve for the confidence interval directly. However, we can use a conservative estimate for the standard deviation of the difference between the sample proportions:
σ = 1/2 * √(1/n1 + 1/n2)Using this formula, we get:
σ = 1/2 * √(1/n1 + 1/n2) ≈ 0.03This is approximately equal to the margin of error, so we can assume that z ≈ 1.96 (the z-score for 95% confidence) and use the formula:
p-hat1 - p-hat2 ± 0.03 = 0.13p-hat1 - p-hat2 = 0.13 ± 0.03p-hat1 - p-hat2 = (0.1, 0.16)Therefore, the 95% confidence interval for the difference between the two population proportions is (0.1, 0.16).
Learn more about Confidence Intervals:
https://brainly.com/question/15712887
#SPJ4
NEED HELP ASAP. Can you also graph the line:
Graph the line that contains the point (-4,-2) and has a slope of 3/4
Answers
Answer:
y= (3/4)x +1
Step-by-step explanation:
Find the remainder when 4 3 − 3 2 + 2 − 4 is divided by + 2
Answers
Answer:
4.5
Step-by-step explanation:
43-32+2-4= 9
9/2= 4.5
Help find the equivalent fraction with the correct steps please !
-2/5 x 6/-1 ÷ 5/-2
What’s the equivalent fraction ? Please help! Tysm (:
Answers
Answer:
: = ÷
\(\frac{-2}{5}*\frac{6}{-1} : \frac{5}{-2} = \frac{-12}{-5} : \frac{5}{-2} = \frac{12}{5}*\frac{-2}{5}=\frac{-24}{25}\)
An equivalent fraction is -24 over 25.
I will mark you as brainliest please help quickly I have 15 minutes!
Answers
Answer:
Blue line: b value: 4 m value: -1/3 Inequality: < Red Line: b value: 2 m value: 2 Inequality: >
Step-by-step explanation:
4=-1/3(0)+b
4=b
0=2(-1)+b
0=-2+b
2=b
A line passes through the points (-3, -1) and (-5, 4). What is the slope of this line.
Answers
Answer:
-5/2
Step-by-step explanation:
4+1/-5+3 your welcome could you give me brainliest pls? thankss
Find the area of the region bounded by \[ y=\frac{7}{(4+x)^{2}}+\frac{5}{7+x^{2}}, \quad y=0, x \geq 5 . \]
Answers
The area of the region bounded by
\[y=\frac{7}{(4+x)^2}+\frac{5}{7+x^2},\ y=0,\ x\ge5\]is 0.0188 (rounded to four decimal places).
Here's how to get the solution:
We are asked to find the area of the region bounded by the two curves.
The curves intersect at (5, 0) because x can not be less than 5.
They meet again at the point x ≈ 1.281.
Now, we must find the integrals for both functions in the given range.
We'll call the first function "f (x)" and the second "g (x)."
f(x) = 7 / (4 + x)² + 5 / (7 + x²)
g(x) = 0
The area between the two curves is obtained by finding the integral of the difference of the two functions.
The area is given by:
\[\int_{5}^{1.281} [f(x) - g(x)] dx\]
Since there is no point of intersection beyond x ≈ 1.281, we will use this value for the limit of integration.
Integrating:
\[\begin{aligned} &\int_{5}^{1.281} [f(x) - g(x)] dx \\ =& \int_{5}^{1.281} \left[\frac{7}{(x+4)^2}+\frac{5}{x^2+7}-0\right] dx \\ =& -\left[\frac{7}{4+x}+\sqrt{7}\tan^{-1}\left(\frac{x}{\sqrt{7}}\right)\right]_{5}^{1.281} \\ =& 0.0188. \end{aligned}\]
Thus, the area of the region is 0.0188.
Learn more about "calculating area by integration":
brainly.com/question/30452445
#SPJ11
The total mass of a box and some oranges was 25 kg. The total mass of
the same box and some apples was 11 kg. The mass of the oranges was
3 times the mass of the apples.
Find the mass of the oranges.
Answers
In a case whereby the total mass of a box and some oranges was 25 kg. The total mass of the same box and some apples was 11 kg. The mass of the oranges was 3 times the mass of the apples, the mass of the oranges is 21kg.
How can the mass of the oranges be determined?The concept that will be used here is simplificatiopn.
We can set up as:
let a represent the box
let b represent the orange
lect c represent the apple
Then a + b = 25
a+ c = 11 ....................................................(2)
b = 3c.......................................(3)
substract equation 2 from 1
b-c = 11 ....................................(4)
substitute eqn 3 into 4
b-c = 14
3c - c =14
2c= 14
c= 7
from eqn 3
b = 3c
b = 3*7 =21
Then mass of orange = 21 kg
from eqn 2
a+ c = 11
a= 11-7= 4
mass of empty box = 4kg
Learn more about mass at:
https://brainly.com/question/25959744
#SPJ1
Julie gets a pre-paid cell phone. Initially she has $40 balance on the phone. She talked to her mom for 5 minutes and her balance is now $39.25. She talked to her sister for 30 minutes and her balance is now $34.75. What will her balance be after she has talked for 75 minutes? A painter is going to charge $90 for paint. Painting your bedroom takes 1 hour and costs $125. Painting your kitchen takes 4 hours and costs $230. How much will it cost to paint the outside of your house if it will take 10 hours?
Which problem is linear? And show the equation table slope calculation after you figured out which problem is linear
Answers
The relationship between the balance in the phone and the number of
minutes of talking is a linear relationship.
Her balance after talking for 75 minutes is $28.75The cost to paint the outside of the house is $350Reasons:
First question
Initial balance in Julie's phone = $40
The balance after talking for 5 minutes = $39.25
Her balance after talking for 30 minutes = $34.75
Required:
Her balance after she has talked for 75 minutes
Solution:
\(The \ rate \ of \ change \ of \ her \ balance =\dfrac{34.75 - 39.25}{35 - 5 } = -0.15\)
Therefore, the rate of change of her balance with time = -0.15 Dollars/minute
The equation for her balance is; y - 39.25 = -0.15 × (x - 5)
y = -0.15·x + 0.75 + 39.25 = -0.15·x + 40
y = 40 - 0.15·x
When x = 75, y = 40 - 0.15×75 = 28.75
Her balance after talking for 75 minutes = $28.75Second question:
The amount charged for paint = $90
Number of hours to paint the bedroom = 1 hour
Cost to paint the bedroom = $125
Number of hours to paint the kitchen = 4 hour
Cost to paint the kitchen = $230
The cost to paint per hour is therefore;
\(Cost \ per \ hour =\dfrac{230- 125}{4 - 1 } = 35\)
The cost to paint per hour = $35 /hour
The cost to paint the outside for 10 hours = 10 × $35 = $350Learn more here:
https://brainly.com/question/12865923
I NEED HELP ASAPPPP!!!
Fill in the blanks.
First bulb: When 3 is the input, the output is _____. When 10 is the input, the output is _______.
Second bulb: When 3 is the input, the output is _____. When 10 is the input, the output is _______.
Answers
When 3 is the input, the output is 30 and When 10 is the input, the output is 150.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
We need to find the output When 3 is the input and 10 is the input.
When 3 is the input, the output is 30. When 10 is the input, the output is 150 Based on the plots, both bulbs have y increasing as x increases.
Therefore, first bulb and second bulb are both increasing.
Hence, When 3 is the input, the output is 30 and When 10 is the input, the output is 150.
To learn more on Ratio click:
https://brainly.com/question/1504221
#SPJ1
I need help please. I don’t know the answer to the question
Answers
The angle 1 can be named as follows:
∠RST
∠TSR
∠S
How to name angles?There are various ways to name an angles. You can name an angle by its vertex, by the three points of the angle (the middle point must be the vertex), or by a letter or number written within the opening of the angle.
Therefore, let's name the angle 1 indicated on the diagram as follows:
Hence, the different ways to name the angle 1 is as follows:
∠RST or ∠TSR
Or
∠S
learn more on angles here: https://brainly.com/question/31550204
#SPJ1
Two step equation help me pls step by step
The questions 36 and 37
Answers
Answer:
Step-by-step explanation:
SOLVING
================================================================
Question 36
6=-2(7-c)
Use distribution to multiply -2 by parenthesis
6=-14+2c
Add to both sides 14
20=2c
Divide 2 into both sides
10=c
Question 375(h-4)=8
Use distribution to multiply 5 by the parenthesis
5h-20=8
Add to both sides 20
5h=28
Divide 5 into both sides
\(h=\frac{28}{5}\)
Learn more;work harder
#Carryonlearning
==============================================================
A small bag of chips weighs 48 grams. A large bag of chips weighs three times as much as the small bag. How many grams will 7 large bags of chips weigh?
Answers
Answer:
the answer is Bg=3(48g)=144g for each large bag.
Step-by-step explanation:
just copy and paste the question that you have into a google search bar and the answer will pop up...
Please help I’m terrible at math
Question 13
1 pts
Suppose that the water level of a river is 33 feet and that it is receding at a rate
of 0.5 feet per day. What would the water level be after 15 days? Round your
answer to the nearest tenth.
Answers
Answer:
25 1/2 feet
Step-by-step explanation:
Answer:
25.5 ft
Step-by-step explanation:
Starting level: 33 ft
Each day the water recedes 0.5 ft.
Now we calculate the number of ft the water recedes in 15 days.
15 days * 0.5 ft/day = 7.5 ft
In 15 days, the water recedes 7.5 ft.
Level of water after 15 days:
33 ft - 7.5 ft = 25.5 ft
Answer: 25.5 ft
Simplify −2r(−16r + 3r − 18). −26r2 − 36r 26r2 + 36 26r2 + 36r −26r2 + 36r
Answers
Answer:
26r^2 + 36r.
Step-by-step explanation:
question which system of equations models the following problem if x represents the number of angelfish yves bought and y represents the number of parrotfish he bought? yves bought 420 tropical fish for a museum display. he bought 6 times as many parrotfish as angelfish. how many of each type of fish did he buy?
Answers
Thus, 420 fish were ultimately caught, with 6x standing in for "6 times as much."
Calculation:x + y = 420; y = 6x
Thus, 420 fish were ultimately caught, with 6x standing in for "6 times as much."
How well-versed are you in fish size?The smallest and largest fish range in size from 1 cm to 18 m. 18 m then equals 18 x 100 or 1800 cm. ∴ The length of large fish exceeds that of little fish by 1800 times.
How many parrotfish purchased by Carlos?The number of parrotfish Carlos purchased is represented by the variable y, whereas the number of angelfish Carlos purchased is represented by the variable x.
To know more about Fish visit:-
brainly.com/question/29657983
#SPJ4
Nancy has the following data:
4 12 2 v 18
If the median is 12, which number
could v be?
Answers
If the median of the given data is 12, then we need to arrange the numbers in ascending order:
2, 4, v, 12, 18Since the median is the middle value when the data is arranged in ascending order, v must be a number between 4 and 12 (exclusive) in order to maintain the median as 12.
Therefore, v could be any number greater than 4 and less than 12.
The triangle on the right is scaled copy of the triangle on the left identified the scale factor
Answers
Answer:
is there supposed to be a picture with it? i can't solve it without more information. sorry
Find the value of the question mark
Answers
Step by step solution:
Values:
Brown frosted donut: 3
Orange frosted donut: 1/3
White frosted donut: 1
Hope this helps!! :)
a charger has a power rating of 12 w. if you charge 6 cents per kilowatt hour, how much do you make in 1 day
Answers
The earnings made in 1 day when charging a device with a power rating of 12 W at a rate of 6 cents per kilowatt hour is 0.01728.
Given, Power rating of charger = 12 W. Charge per kilowatt hour = 6 cents = 0.06/kWh.To calculate the earnings in 1 day, we need to calculate the power consumed by the charger in 1 day first.
P = Power rating of charger = 12 Wt = Time = 1 day = 24 hours. Energy consumed = Power x Time. E = P x t= 12 W x 24 hours= 288 Wh = 0.288 kWh. Therefore, energy consumed by the charger in 1 day = 0.288 kWh.
Now, we can calculate the earnings in 1 day as follows: Charge per unit = 0.06/kWh. Earnings = Energy consumed x Charge per unit. Earnings = 0.288 kWh x 0.06/kWh= 0.01728.
Therefore, the earnings made in 1 day when charging a device with a power rating of 12 W at a rate of 6 cents per kilowatt hour is 0.01728.
To know more about power refer here:
https://brainly.com/question/26256725
#SPJ11
HELPPPPPPPPJSSIJWJSJDHSFASTTTTT
Answers
Answer:
The first 0ne
Step-by-step explanation:
Factor the expression below.
x2 + 18x + 81
Answers
The Answer is (x+9)^2
Answer:
-81/20
Step-by-step explanation:
JL = 26.
KL = 3r – 7. and
JK = 8x + 8.
Find KL.
Answers
Answer:KL =10
Step-by-step explanation:
Answer to earn 10 points and brainliest
HSMath
Answers
Answer:
Would it be 37?
Step-by-step explanation:
BODMAS shows that multiplication should be done first before addition so 21+16 equals 37. I’m not sure but this is my best guess
Answer:
37
Step-by-step explanation:
You just need to multiply (7*3) and (8*2) then add it together! So 21 (7*3) plus 16 (8*2) which is 37! Please give brainliest and hope this helped
Its for a testt helpp
Answers
Answer:
the answer would be D) undefined
Step-by-step explanation:
above is what the graph should look like and in that graph there is no slope.
what does B equal ??
Answers
Answer:
-1
Step-by-step explanation:
B-value: The b-value is the middle number, which is the number next to and multiplied by the x; a change in the value of b affects the parabola and the resulting graph.
Simón y Carlos tienen una pista de autos iguales, pero cada uno de ellos tiene dos autos que corren a distintas velocidades. De los autos de Simón uno le da una vuelta completa a la pista en 31 segundos y el segundo lo hace en 17 segundos. De los autos de Carlos uno da una vuelta completa en 36 segundos y el segundo en 42 segundos. Proponen una competencia en la que todos los autos salen al mismo tiempo de la meta y el ganador será el primero en el que sus dos autos lleguen al mismo tiempo, de nuevo a la meta. ¿Quién ganará?
Answers
Answer:
Carlos.
Step-by-step explanation:
Dado que Simón y Carlos tienen una pista de autos iguales, pero cada uno de ellos tiene dos autos que corren a distintas velocidades, y de los autos de Simón uno le da una vuelta completa a la pista en 31 segundos y el segundo lo hace en 17 segundos, mientras que de los autos de Carlos uno da una vuelta completa en 36 segundos y el segundo en 42 segundos, si ambos proponen una competencia en la que todos los autos salen al mismo tiempo de la meta y el ganador será el primero en el que sus dos autos lleguen al mismo tiempo, de nuevo a la meta, para determinar quién ganará se deben realizar los siguientes cálculos:
Simón: 527 SEGUNDOS
A: 31 + 62 + 93 + 124 + 155 + 186 + 217 + 248 + 279 + 310 + 341 + 372 + 403 + 434 + 465 + 496 + 527
B: 17 + 34 + 51 + 68 + 85 + 102 + 119 + 136 + 153 + 170 + 187 + 204 + 221 + 238 + 255 + 272 + 289 + 306 + 323 + 340 + 357 + 374 + 391 + 408 + 425 + 442 + 459 + 476 + 493 + 510 + 527
Carlos: 252 SEGUNDOS
A: 36 + 72 + 108 + 144 + 180 + 216 + 252
B: 42 + 84 + 126 + 168 + 210 + 252
Por lo tanto, el ganador será Carlos.
a 30-60-90 triangle has a hypotenuse with a length of 10 feet. what are the lengths of the short leg and the medium leg?
Answers
The short leg of the 30-60-90 triangle with a hypotenuse of 10 feet is 5 feet, and the medium leg is approximately 8.66 feet.
A 30-60-90 triangle is a special right triangle in which the angles measure 30 degrees, 60 degrees, and 90 degrees. The ratio of the sides in this type of triangle is always 1:√3:2, with the shortest side opposite the 30 degree angle.
In this case, the hypotenuse is given as 10 feet, which is the longest side of the triangle and opposite the 90 degree angle.
To find the length of the short leg opposite the 30 degree angle, we can use the ratio mentioned above and multiply the hypotenuse length by 1/2, giving us a length of 5 feet.
To find the length of the medium leg opposite the 60 degree angle, we can use the same ratio and multiply the hypotenuse length by √3/2, which gives us approximately 8.66 feet.
Hence, the short leg of the 30-60-90 triangle is 5 feet and the medium leg is approximately 8.66 feet, given a hypotenuse length of 10 feet.
learn more about hypotenuse click here:
https://brainly.com/question/2217700
#SPJ11